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Anotace knihy

This volume collects the notes of the CIME course "Nonlinear PDE s and applications" held in Cetraro (Italy) on June 23 28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon).§They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems.§The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Nonlinear PDE's and Applications
• Podnázev: C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savare
• Autor: Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 224
• EAN: 9783642217180
• ISBN: 3642217184
• ID: 01658194
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 370 g
• Rozměry: 240 × 162 × 13 mm
• Datum vydání: 30. July 2011

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